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Simplifying (7x + -1y)(7x + -1y) = 0 Multiply (7x + -1y) * (7x + -1y) (7x * (7x + -1y) + -1y * (7x + -1y)) = 0 ((7x * 7x + -1y * 7x) + -1y * (7x + -1y)) = 0 Reorder the terms: ((-7xy + 49x2) + -1y * (7x + -1y)) = 0 ((-7xy + 49x2) + -1y * (7x + -1y)) = 0 (-7xy + 49x2 + (7x * -1y + -1y * -1y)) = 0 (-7xy + 49x2 + (-7xy + 1y2)) = 0 Reorder the terms: (-7xy + -7xy + 49x2 + 1y2) = 0 Combine like terms: -7xy + -7xy = -14xy (-14xy + 49x2 + 1y2) = 0 Solving -14xy + 49x2 + 1y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -1y)(7x + -1y) = 0Subproblem 1
Set the factor '(7x + -1y)' equal to zero and attempt to solve: Simplifying 7x + -1y = 0 Solving 7x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 7x + -1y + y = 0 + y Combine like terms: -1y + y = 0 7x + 0 = 0 + y 7x = 0 + y Remove the zero: 7x = y Divide each side by '7'. x = 0.1428571429y Simplifying x = 0.1428571429ySubproblem 2
Set the factor '(7x + -1y)' equal to zero and attempt to solve: Simplifying 7x + -1y = 0 Solving 7x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 7x + -1y + y = 0 + y Combine like terms: -1y + y = 0 7x + 0 = 0 + y 7x = 0 + y Remove the zero: 7x = y Divide each side by '7'. x = 0.1428571429y Simplifying x = 0.1428571429ySolution
x = {0.1428571429y, 0.1428571429y}
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